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Fundamental Tensor and Related Operations
Some tensor manipulations and properties.
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Math Rendering by Jekyll and MathJax
Some bazzar math rendering bugs by Jekyll and MathJax.
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Chapter 1 Martingales
Martingale, Stopping Time, Doob’s Optional Stopping Theorem.
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A test post
this is what included tabs in a post could look like
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Chapter 10 Mathematical Statistics
Parametric v.s. Non-Parametric, Donimated Family, Exponential Family.
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Chapter 9 The Central Limit Theorem
Lévy's Convergence Theorem and Central Limit Theorem.
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Chapter 8 Weak Convergence
Weak Convergence, Tightness, Skorokhod Representation, Helly-Bray Lemma.
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Chapter 7 Conditional Expectation
Proof of existence and uniqueness of conditional expectation.
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Chapter 6 Product Measure
Product Measures, Tonelli's Theorem, Fubini's Theorem.
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Chapter 5 Lᵖ Space
$L^p$ Spaces, Important inequalities, Orthogonal Projection Theorem.